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Finding the Fourth Proportional to 138,548.74, 207,823.17 and 33,367.67

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Solution

The fourth proportional to 138,548.74, 207,823.17 and 33,367.67 is: 50,051.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,548.74 : 207,823.17 = 33,367.67 : x
  2. Step 2: Convert to fraction form
    138,548.74/207,823.17 = 33,367.67/x
  3. Step 3: Cross multiply
    138,548.74x = 207,823.17 × 33,367.67
  4. Step 4: Simplify right side
    138,548.74x = 6,934,574,954.91
  5. Step 5: Solve for x
    x = 6,934,574,954.91/138,548.74
  6. Step 6: Final answer
    x = 50,051.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.